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On 1-rate and 2-rate multicast 3-stage Clos networks

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Applied math.matics(A Journal of Chinese Universities) 2009年第2期24卷 151-156页

作者： DOU Wen-qing YAO En-yu Dept. of math. Shanghai Second Polytechnic Univ. Shanghai 201209 China Dept. of math. Zhejiang Univ. Zhejiang 310027 China

The 3-stage Clos network C（n, m, r） is considered as the most basic and popular multistage interconnection network which has been widely employed for data communications and parallel computing systems. Quite a lot of efforts has been put on the research of the 3- stage Clos network. Unfortunately, very little is known for the multirate multicast Clos network which is the most complicated case. Firstly a sufficient condition for 1-rate multicast networks to be SNB is given, from which a result for 2-rate multicast networks to be WSNB can easily be gotten. Furthermore, by using a reservation-scheme routing, more specific result for 2-rate multicast networks to be WSNB can be obtained for the case of one of them exceeding 1/2.

关键词： 3-stage Clos network multirate multicast network strictly nonblocking wide-sense nonblocking

Singular integral on bounded strictly pseudoconvex domain

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Applied math.matics(A Journal of Chinese Universities) 2008年第3期23卷 273-278页

作者： GONG Ding-dong Dept.of math.,Zhejiang Univ.,Hangzhou 310027,china Dept.of math.Sci.,Zhejiang Sci-Tech Univ.,Hangzhou 310018,china. Dept. of math. Zhejiang Univ. Hangzhou China Dept. of math. Sci. Zhejiang Sci-Tech Univ. Hangzhou China

Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.

关键词： strictly pseudoconvex domain singulax integral composition formula singular integral equation

Global smooth solution of multi-dimensional non-homogeneous conservation laws

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Progress in Natural Science:Materials International 2004年第10期14卷 15-22页

作者： YANG Xiaozhou 1 and ZHANG Tong 2 (1.department of math.matics,Shantou University,Shantou515063,china 2.Institute of math.matics,Chinese Academy of Sci-ences,Beijing100080,china) Dept. of math. Shantou Univ. Shantou 515063 China Inst. of math. Chinese Acad. of Sci. Beijing 100080 China

The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is ***,three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also *** global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation,not by a system as usual methods do.

关键词： conservation laws global smooth solution global implicit function diffeomorphism

DEFORMING CONVEX HYPERSURFACES BY THE LINEAR COMBINATION OF THE MEAN CURVATURE AND THE N-TH ROOT OF THE GAUSS-KRONECKER CURVATURE

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Acta math.matica Scientia 1997年第2期17卷 129-142页

作者：沈一兵盛卫民 Dept. of math. Hangzhou University Hangzhou 310028 China

In this paper a flow of convex hypersurfaces in the Euclidean space by the linear-combination of the mean curvature and the n-th root of the Gauss-Kronecker curvature is considered. It is proved that such deforming co... 详细信息

关键词： curvature flow mean curvature Gauss-Kronecker curvature convexity hypersurface

A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equations on anisotropic meshes

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Applied math.matics(A Journal of Chinese Universities) 2009年第1期24卷 97-104页

作者： SHI Dong-yang WANG Hui-min LI Zhi-yan Dept. of math., Zhengzhou Univ., Zhengzhou 450052, china Dept. of math. Zhengzhou Univ. Zhengzhou China

A lumped mass approximation scheme of a low order Crouzeix-Raviart type noncon- forming triangular finite element is proposed to a kind of nonlinear parabolic integro-differential equations. The L2 error estimate is d... 详细信息

关键词： nonlinear parabolic integro-differential equation nonconforming finite element anisotropic mesh lumped mass error estimate

ESTIMATION FOR THE AYMPTOTIC VARIANCE OF PARAMETRIC ESTIMATES IN PARTIAL LINEAR MODEL WITH CENSORED DATA

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Acta math.matica Scientia 1996年第2期16卷 192-208页

作者：秦更生蔡雷 Dept. of math. Sichuan University Chengdu 610064 China

Consider tile partial linear model Y=Xβ+ g(T) + e. Wilers Y is at risk of being censored from the right, g is an unknown smoothing function on [0,1], β is a 1-dimensional parameter to be estimated and e is an unobserved error. In Ref[1,2], it wes proved that the estimator for the asymptotic variance of βn(βn) is consistent. In this paper, we establish the limit distribution and the law of the iterated logarithm for,En, and obtain the convergest rates for En and the strong uniform convergent rates for gn(gn).

关键词： Partial linear model Censored data Kernel method Asymptotic normality Thc law of the iterated logarithm.

L-R smash products for multiplier Hopf algebras

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 83-90页

作者： ZHAO Li-hui LU Di-ming FANG Xiao-li Dept. of math. Zhejiang Univ. Hangzhou 310027 China. Dept. of math. NIT Zhejiang Univ. Ningbo 315100 China.

The theory of L-R smash product is extended to multiplier Hopf algebras and a sufficient condition for L-R smash product to be regular multiplier Hopf algebras is given. In particular, the result of the paper implies ... 详细信息

关键词： multiplier Hopf algebral bimodule bialgebra L-R smash product.

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Acta math.matica Scientia 1991年第1期11卷 48-55页

作者：郭柏灵潘兴德 Inst. of Appl. Phys. & Comp. math. Beijing China Dept. of math. Zhejiang University Hangzhou China

The existence of a global smooth solution for the initial value problem of generalized Kuramoto-Sivashinsky type equations have been obtained. Similarty siolutions and the structure of the traveling waves solution for the generalized KS equations are discussed and analysed by using the qualitative theory of ODE and Lie's infinitesimal transformation respectively.

Two algorithms for two-phase Stefan type problems

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Applied math.matics(A Journal of Chinese Universities) 2009年第3期24卷 298-308页

作者： LIAN Xiao-peng CHENG Xiao-liang HAN Wei-min Dept. of math. Zhejiang Univ. Hangzhou 310027 China Dept. of math. University of Iowa Iowa City IA 52242 USA

In this paper,the relaxation algorithm and two Uzawa type algorithms for solving discretized variational inequalities arising from the two-phase Stefan type problem are *** analysis of their convergence is presented and the upper bounds of the convergence rates are *** numerical experiments are shown to demonstrate that for the second Uzawa algorithm which is an improved version of the first Uzawa algorithm,the convergence rate is uniformly bounded away from 1 if τh^-2 is kept bounded,where τ is the time step size and h the space mesh size.

关键词： relaxation method Uzawa algorithm variational inequality two-phase Stefan type problem